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Question

# Electric field outside a long wire carrying charge q is proportional to :1r21r1r13/21r13/5

A
1r13/2
B
1r
C
1r13/5
D
1r2
Solution
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#### Using Gauss Law across the cylindrical Gaussian surface,∫E.dS=qencϵ0∴E×2πr×l=λ×lϵ0∴E=λ2πrϵ0Here λ is the linear charge density on the wire.

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